What is the Least Common Multiple of 92628 and 92646?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 92628 and 92646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92628 and 92646, than apply into the LCM equation.

GCF(92628,92646) = 18
LCM(92628,92646) = ( 92628 × 92646) / 18
LCM(92628,92646) = 8581613688 / 18
LCM(92628,92646) = 476756316

Least Common Multiple (LCM) of 92628 and 92646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92628 and 92646. First we will calculate the prime factors of 92628 and 92646.

Prime Factorization of 92628

Prime Factorization of 92646

Now multiplying the highest exponent prime factors to calculate the LCM of 92628 and 92646.

LCM(92628,92646) = 2² × 3² × 31¹ × 83¹ × 5147¹
LCM(92628,92646) = 476756316